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Finding the Fourth Proportional to 38,140.68, 52,597.80 and 29,188.56

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Solution

The fourth proportional to 38,140.68, 52,597.80 and 29,188.56 is: 40,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,140.68 : 52,597.80 = 29,188.56 : x
  2. Step 2: Convert to fraction form
    38,140.68/52,597.80 = 29,188.56/x
  3. Step 3: Cross multiply
    38,140.68x = 52,597.80 × 29,188.56
  4. Step 4: Simplify right side
    38,140.68x = 1,535,254,041.17
  5. Step 5: Solve for x
    x = 1,535,254,041.17/38,140.68
  6. Step 6: Final answer
    x = 40,252.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.